By selling a computer for Rs.30.875. a shopkeeper suffers a loss of 5%. At What price should he sell it to gain 7%?

Correct option is A

Given:

Selling Price (SP) at 5% loss = Rs. 30,875

Required gain = 7%

Formula Used:

CP = $$\frac{\text{SP}}{1 - \frac{\text{Loss \%}}{100}}$$​​

New SP = $$\text{CP} \times \left(1 + \frac{\text{Gain \%}}{100} \right)$$​​

Solution:

CP = $$\frac{30875}{1 - \frac{5}{100}} = \frac{30875}{0.95} = 32500$$​

SP = $$32500 \times \left(1 + \frac{7}{100} \right)$$​

= 32500 $$\times \left( \frac{107}{100} \right)$$​

= $$325 \times 107$$​​

= ₹34,775

Alternate method:

Cost Price = 100%

Frist Selling Price = 100 – 5 = 95%

95 = 30,875

1 = 325

So that After 7% profit = 107%

107% = $$107 \times325$$​ = 34,775